C. J. R. Sheppard, S. Saghafi, “Beam modes beyond the paraxial approximation: a scalar treatment,” Phys. Rev. A 57, 2971–2979 (1998).

[CrossRef]

P. Varga, P. Török, “Gaussian wave solution of Maxwell’s equations and the validity of the scalar wave equation,” Opt. Commun. 152, 1–3 (1998).

[CrossRef]

C. J. R. Sheppard, P. Török, “Efficient calculation of electromagnetic diffraction in optical systems using a multipole expansion,” J. Mod. Opt. 44, 803–818 (1997).

[CrossRef]

C. J. R. Sheppard, P. Török, “Electromagnetic field in the focal region of an electric dipole wave,” Optik (Stuttgart) 104, 175–177 (1997).

X. D. Zeng, C. H. Liang, Y. Y. An, “Far-field radiation of planar Gaussian sources and comparison with solutions based on the parabolic approximation,” Appl. Opt. 36, 2042–2047 (1997).

[CrossRef]
[PubMed]

C. J. R. Sheppard, K. G. Larkin, “Optimal concentration of electromagnetic radiation,” J. Mod. Opt. 41, 1495–1505 (1994).

[CrossRef]

M. A. Porras, “The best optical beam beyond the paraxial approximation,” Opt. Commun. 111, 338–349 (1994).

[CrossRef]

G. P. Agrawal, M. Lax, “Free-space wave propagation beyond the paraxial approximation,” Phys. Rev. A 27, 1693–1695 (1983).

[CrossRef]

L. W. Davis, G. Patsakos, “Comment on representation of vector electromagnetic beams,” Phys. Rev. A 26, 3702–3703 (1982).

[CrossRef]

A. L. Cullen, P. K. Yu, “Complex source-point theory of the electromagnetic open resonator,” Proc. R. Soc. London, Ser. A 366, 155–171 (1979).

[CrossRef]

L. W. Davis, “Theory of electromagnetic beams,” Phys. Rev. A 19, 1177–1179 (1979).

[CrossRef]

G. P. Agrawal, D. N. Pattanayck, “Gaussian beam propagation beyond the paraxial approximation,” J. Opt. Soc. Am. 69, 575–578 (1979).

[CrossRef]

C. J. R. Sheppard, T. Wilson, “Gaussian-beam theory of lenses with annular aperture,” IEE J. Microwaves, Opt. Acoust. 2, 105–112 (1978).

[CrossRef]

C. J. R. Sheppard, “Electromagnetic field in the focal region of wide-angular annular lens and mirror systems,” IEE J. Microwaves, Opt. Acoust. 2, 163–166 (1978).

[CrossRef]

M. Lax, W. H. Louisel, W. B. McKnight, “From Maxwell to paraxial wave optics,” Phys. Rev. A 11, 1365–1370 (1975).

[CrossRef]

A. Yoshida, T. Asakura, “Electromagnetic field near the focus of Gaussian beams,” Optik (Stuttgart) 41, 281–291 (1974).

J. F. Nye, M. Berry, “Dislocations in wave trains,” Proc. R. Soc. London, Ser. A 336, 165–190 (1974).

[CrossRef]

G. A. Deschamps, “Gaussian beam as a bundle of complex rays,” Electron. Lett. 7, 684–685 (1971).

[CrossRef]

H. Kogelnik, T. Li, “Laser beams and resonators,” Proc. IEEE 54, 1312–1329 (1966).

[CrossRef]

A. G. van Nie, “Rigorous calculation of the electromagnetic field of a wave beam,” Philips Res. Rep. 19, 378–394 (1964).

B. Richards, E. Wolf, “Electromagnetic diffraction in optical systems. II. Structure of the image field in an aplanatic system,” Proc. R. Soc. London, Ser. A 253, 358–379 (1959).

[CrossRef]

A. Yoshida, T. Asakura, “Electromagnetic field near the focus of Gaussian beams,” Optik (Stuttgart) 41, 281–291 (1974).

M. Couture, P.-A. Bélanger, “From Gaussian beam to complex-source-point spherical wave,” Phys. Rev. A 24, 355–359 (1981).

[CrossRef]

J. F. Nye, M. Berry, “Dislocations in wave trains,” Proc. R. Soc. London, Ser. A 336, 165–190 (1974).

[CrossRef]

M. Couture, P.-A. Bélanger, “From Gaussian beam to complex-source-point spherical wave,” Phys. Rev. A 24, 355–359 (1981).

[CrossRef]

A. L. Cullen, P. K. Yu, “Complex source-point theory of the electromagnetic open resonator,” Proc. R. Soc. London, Ser. A 366, 155–171 (1979).

[CrossRef]

L. W. Davis, G. Patsakos, “Comment on representation of vector electromagnetic beams,” Phys. Rev. A 26, 3702–3703 (1982).

[CrossRef]

L. W. Davis, G. Patsakos, “TM and TE electromagnetic beams in free space,” Opt. Lett. 6, 22–23 (1981).

[CrossRef]
[PubMed]

L. W. Davis, “Theory of electromagnetic beams,” Phys. Rev. A 19, 1177–1179 (1979).

[CrossRef]

G. A. Deschamps, “Gaussian beam as a bundle of complex rays,” Electron. Lett. 7, 684–685 (1971).

[CrossRef]

J. J. Stamnes, V. Dhayalan, “Focusing of electric dipole waves,” Pure Appl. Phys. 5, 195–226 (1996).

H. Kogelnik, T. Li, “Laser beams and resonators,” Proc. IEEE 54, 1312–1329 (1966).

[CrossRef]

C. J. R. Sheppard, K. G. Larkin, “Optimal concentration of electromagnetic radiation,” J. Mod. Opt. 41, 1495–1505 (1994).

[CrossRef]

G. P. Agrawal, M. Lax, “Free-space wave propagation beyond the paraxial approximation,” Phys. Rev. A 27, 1693–1695 (1983).

[CrossRef]

M. Lax, W. H. Louisel, W. B. McKnight, “From Maxwell to paraxial wave optics,” Phys. Rev. A 11, 1365–1370 (1975).

[CrossRef]

H. Kogelnik, T. Li, “Laser beams and resonators,” Proc. IEEE 54, 1312–1329 (1966).

[CrossRef]

M. Lax, W. H. Louisel, W. B. McKnight, “From Maxwell to paraxial wave optics,” Phys. Rev. A 11, 1365–1370 (1975).

[CrossRef]

M. Lax, W. H. Louisel, W. B. McKnight, “From Maxwell to paraxial wave optics,” Phys. Rev. A 11, 1365–1370 (1975).

[CrossRef]

R. Simon, E. C. G. Sudarshan, N. Mukunda, “Cross polarization in laser beams,” Appl. Opt. 26, 1589–1593 (1987).

[CrossRef]
[PubMed]

R. Simon, E. C. G. Sudarshan, N. Mukunda, “Gaussian–Maxwell beams,” J. Opt. Soc. Am. A 3, 536–540 (1986).

[CrossRef]

J. F. Nye, M. Berry, “Dislocations in wave trains,” Proc. R. Soc. London, Ser. A 336, 165–190 (1974).

[CrossRef]

M. A. Porras, “The best optical beam beyond the paraxial approximation,” Opt. Commun. 111, 338–349 (1994).

[CrossRef]

B. Richards, E. Wolf, “Electromagnetic diffraction in optical systems. II. Structure of the image field in an aplanatic system,” Proc. R. Soc. London, Ser. A 253, 358–379 (1959).

[CrossRef]

C. J. R. Sheppard, S. Saghafi, “Beam modes beyond the paraxial approximation: a scalar treatment,” Phys. Rev. A 57, 2971–2979 (1998).

[CrossRef]

C. J. R. Sheppard, S. Saghafi, “Beam modes beyond the paraxial approximation: a scalar treatment,” Phys. Rev. A 57, 2971–2979 (1998).

[CrossRef]

C. J. R. Sheppard, P. Török, “Efficient calculation of electromagnetic diffraction in optical systems using a multipole expansion,” J. Mod. Opt. 44, 803–818 (1997).

[CrossRef]

C. J. R. Sheppard, P. Török, “Electromagnetic field in the focal region of an electric dipole wave,” Optik (Stuttgart) 104, 175–177 (1997).

C. J. R. Sheppard, K. G. Larkin, “Optimal concentration of electromagnetic radiation,” J. Mod. Opt. 41, 1495–1505 (1994).

[CrossRef]

C. J. R. Sheppard, H. J. Matthews, “Imaging in high-aperture optical systems,” J. Opt. Soc. Am. A 4, 1354–1360 (1987).

[CrossRef]

C. J. R. Sheppard, T. Wilson, “Gaussian-beam theory of lenses with annular aperture,” IEE J. Microwaves, Opt. Acoust. 2, 105–112 (1978).

[CrossRef]

C. J. R. Sheppard, “Electromagnetic field in the focal region of wide-angular annular lens and mirror systems,” IEE J. Microwaves, Opt. Acoust. 2, 163–166 (1978).

[CrossRef]

R. Simon, E. C. G. Sudarshan, N. Mukunda, “Cross polarization in laser beams,” Appl. Opt. 26, 1589–1593 (1987).

[CrossRef]
[PubMed]

R. Simon, E. C. G. Sudarshan, N. Mukunda, “Gaussian–Maxwell beams,” J. Opt. Soc. Am. A 3, 536–540 (1986).

[CrossRef]

J. J. Stamnes, V. Dhayalan, “Focusing of electric dipole waves,” Pure Appl. Phys. 5, 195–226 (1996).

R. Simon, E. C. G. Sudarshan, N. Mukunda, “Cross polarization in laser beams,” Appl. Opt. 26, 1589–1593 (1987).

[CrossRef]
[PubMed]

R. Simon, E. C. G. Sudarshan, N. Mukunda, “Gaussian–Maxwell beams,” J. Opt. Soc. Am. A 3, 536–540 (1986).

[CrossRef]

P. Varga, P. Török, “Gaussian wave solution of Maxwell’s equations and the validity of the scalar wave equation,” Opt. Commun. 152, 1–3 (1998).

[CrossRef]

C. J. R. Sheppard, P. Török, “Electromagnetic field in the focal region of an electric dipole wave,” Optik (Stuttgart) 104, 175–177 (1997).

C. J. R. Sheppard, P. Török, “Efficient calculation of electromagnetic diffraction in optical systems using a multipole expansion,” J. Mod. Opt. 44, 803–818 (1997).

[CrossRef]

P. Varga, P. Török, “Exact and approximate solutions of Maxwell’s equations for a confocal cavity,” Opt. Lett. 21, 1523–1525 (1996).

[CrossRef]
[PubMed]

A. G. van Nie, “Rigorous calculation of the electromagnetic field of a wave beam,” Philips Res. Rep. 19, 378–394 (1964).

C. J. R. Sheppard, T. Wilson, “Gaussian-beam theory of lenses with annular aperture,” IEE J. Microwaves, Opt. Acoust. 2, 105–112 (1978).

[CrossRef]

B. Richards, E. Wolf, “Electromagnetic diffraction in optical systems. II. Structure of the image field in an aplanatic system,” Proc. R. Soc. London, Ser. A 253, 358–379 (1959).

[CrossRef]

A. Yoshida, T. Asakura, “Electromagnetic field near the focus of Gaussian beams,” Optik (Stuttgart) 41, 281–291 (1974).

A. L. Cullen, P. K. Yu, “Complex source-point theory of the electromagnetic open resonator,” Proc. R. Soc. London, Ser. A 366, 155–171 (1979).

[CrossRef]

R. Simon, E. C. G. Sudarshan, N. Mukunda, “Cross polarization in laser beams,” Appl. Opt. 26, 1589–1593 (1987).

[CrossRef]
[PubMed]

X. D. Zeng, C. H. Liang, Y. Y. An, “Far-field radiation of planar Gaussian sources and comparison with solutions based on the parabolic approximation,” Appl. Opt. 36, 2042–2047 (1997).

[CrossRef]
[PubMed]

G. A. Deschamps, “Gaussian beam as a bundle of complex rays,” Electron. Lett. 7, 684–685 (1971).

[CrossRef]

C. J. R. Sheppard, “Electromagnetic field in the focal region of wide-angular annular lens and mirror systems,” IEE J. Microwaves, Opt. Acoust. 2, 163–166 (1978).

[CrossRef]

C. J. R. Sheppard, T. Wilson, “Gaussian-beam theory of lenses with annular aperture,” IEE J. Microwaves, Opt. Acoust. 2, 105–112 (1978).

[CrossRef]

C. J. R. Sheppard, K. G. Larkin, “Optimal concentration of electromagnetic radiation,” J. Mod. Opt. 41, 1495–1505 (1994).

[CrossRef]

C. J. R. Sheppard, P. Török, “Efficient calculation of electromagnetic diffraction in optical systems using a multipole expansion,” J. Mod. Opt. 44, 803–818 (1997).

[CrossRef]

S. Y. Shin, L. Felsen, “Gaussian beam modes by multipoles with complex source points,” J. Opt. Soc. Am. 67, 699–700 (1977).

[CrossRef]

A. E. Siegman, “Hermite–Gaussian functions of complex arguments as optical-beam eigenfunctions,” J. Opt. Soc. Am. 63, 1093–1094 (1973).

[CrossRef]

G. P. Agrawal, D. N. Pattanayck, “Gaussian beam propagation beyond the paraxial approximation,” J. Opt. Soc. Am. 69, 575–578 (1979).

[CrossRef]

T. Takenaka, M. Yokota, O. Fukumitsu, “Propagation of light beams beyond the paraxial approximation,” J. Opt. Soc. Am. A 2, 826–829 (1985).

[CrossRef]

E. Zauderer, “Complex argument Hermite–Gaussian and Laguerre–Gaussian beams,” J. Opt. Soc. Am. A 3, 465–469 (1986).

[CrossRef]

R. Simon, E. C. G. Sudarshan, N. Mukunda, “Gaussian–Maxwell beams,” J. Opt. Soc. Am. A 3, 536–540 (1986).

[CrossRef]

C. J. R. Sheppard, H. J. Matthews, “Imaging in high-aperture optical systems,” J. Opt. Soc. Am. A 4, 1354–1360 (1987).

[CrossRef]

P. Varga, P. Török, “Gaussian wave solution of Maxwell’s equations and the validity of the scalar wave equation,” Opt. Commun. 152, 1–3 (1998).

[CrossRef]

M. A. Porras, “The best optical beam beyond the paraxial approximation,” Opt. Commun. 111, 338–349 (1994).

[CrossRef]

A. Yoshida, T. Asakura, “Electromagnetic field near the focus of Gaussian beams,” Optik (Stuttgart) 41, 281–291 (1974).

C. J. R. Sheppard, P. Török, “Electromagnetic field in the focal region of an electric dipole wave,” Optik (Stuttgart) 104, 175–177 (1997).

A. G. van Nie, “Rigorous calculation of the electromagnetic field of a wave beam,” Philips Res. Rep. 19, 378–394 (1964).

C. J. R. Sheppard, S. Saghafi, “Beam modes beyond the paraxial approximation: a scalar treatment,” Phys. Rev. A 57, 2971–2979 (1998).

[CrossRef]

G. P. Agrawal, M. Lax, “Free-space wave propagation beyond the paraxial approximation,” Phys. Rev. A 27, 1693–1695 (1983).

[CrossRef]

M. Couture, P.-A. Bélanger, “From Gaussian beam to complex-source-point spherical wave,” Phys. Rev. A 24, 355–359 (1981).

[CrossRef]

M. Lax, W. H. Louisel, W. B. McKnight, “From Maxwell to paraxial wave optics,” Phys. Rev. A 11, 1365–1370 (1975).

[CrossRef]

L. W. Davis, “Theory of electromagnetic beams,” Phys. Rev. A 19, 1177–1179 (1979).

[CrossRef]

L. W. Davis, G. Patsakos, “Comment on representation of vector electromagnetic beams,” Phys. Rev. A 26, 3702–3703 (1982).

[CrossRef]

H. Kogelnik, T. Li, “Laser beams and resonators,” Proc. IEEE 54, 1312–1329 (1966).

[CrossRef]

B. Richards, E. Wolf, “Electromagnetic diffraction in optical systems. II. Structure of the image field in an aplanatic system,” Proc. R. Soc. London, Ser. A 253, 358–379 (1959).

[CrossRef]

A. L. Cullen, P. K. Yu, “Complex source-point theory of the electromagnetic open resonator,” Proc. R. Soc. London, Ser. A 366, 155–171 (1979).

[CrossRef]

J. F. Nye, M. Berry, “Dislocations in wave trains,” Proc. R. Soc. London, Ser. A 336, 165–190 (1974).

[CrossRef]

J. J. Stamnes, V. Dhayalan, “Focusing of electric dipole waves,” Pure Appl. Phys. 5, 195–226 (1996).